alt Hacker NewsYes, it's equivalent to running a computer with admin access, and most banking web sites have no issue with that.
Still, my point was not about running a rooted phone with unlocked bootloader (secure boot disabled on a pc equivalent), but whether if this is possible accounts in your purchasing decision.
Before we had secure phones, we used to get hardware gadgets from banks in order to secure access. Now that phones are secure enough, the phones act as the root of trust (and, unfortunately, SMS does as well...).